Pointwise decay for the Maxwell field on black hole space-times
arXiv:1411.3693 · doi:10.1016/j.aim.2017.05.024
Abstract
In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates for all the components of the Maxwell tensor.
34 pages, several typos corrected and proofs expanded
References in corpus (5)
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Cited by in corpus (14)
- Stability for linearized gravity on the Kerr spacetime
- Long time existence for semilinear wave equations on asymptotically flat space-times
- Linear Stability of the Non-Extreme Kerr Black Hole
- Decay of solutions to the Maxwell equation on the Schwarzschild background
- A sharp version of Price's law for wave decay on asymptotically flat spacetimes
- Sharp decay estimates for massless Dirac fields on a Schwarzschild background
- Price's law for spin fields on a Schwarzschild background
- Peeling on Kerr spacetime~:linear and non linear scalar fields
- On quasilinear Maxwell equations in two dimensions
- Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
- Conformal scattering theory for the Dirac field on Kerr spacetime
- Lectures on Linear Stability of Rotating Black Holes
- Cauchy and Goursat problems for the generalized spin zero rest-mass fields on Minkowski spacetime
- Price's law on Minkowski space in the presence of an inverse square potential